The effect of melting on the intrinsic stability of steady-state combustion
of energetic materials has been analytically studied using the Zeldovich-N
ovozhilov approach. Stability limits are given in conventional and modified
sensitivity parameters coordinates. Their dependence on the melting heat a
nd temperature is explained in a simple way. Numerical calculations based o
n an original mathematical model were performed to verify the effects of me
lting on the stability of pressure-driven combustion regimes. Qualitatively
, the effect of melting heat on the stability of transient combustion regim
es with developed gas phase reactions is the same as that on the stability
of steady-state regime, that is, as the melting heat increases, the stabili
ty decreases. In addition, the effect of melting temperature on the burning
rate response to harmonic pressure oscillations has been numerically studi
ed. The effect appears to be qualitatively the same under stationary and tr
ansient regimes, that is, as the melting temperature increases and approach
es the temperature of the burning surface, the response function decreases
noticeably in its absolute value, which corresponds to an increase of combu
stion stability.